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Triple integration by parts...

Just as the title reads... could someone remind me of the triple integration by parts formula please... it's in order to find a reduction formula for some stupid integral with 3 terms in it... thanks :smile:
Reply 1
Avatar for insparato
insparato
15
Err... An example might help. I don't recall ever having to do a triple by parts but i maybe wrong.
Reply 2
Avatar for bruceleej
bruceleej
2
insparato
Err... An example might help. I don't recall ever having to do a triple by parts but i maybe wrong.

Yea, especially not for a reduction formular question
Reply 3
Avatar for xinolisss
xinolisss
OP
10
Well basically it's just the same as the normal integration by parts only with 3 terms in it.. like I'm trying to find the reduction formula for
In = integral from 1 to 0 of e^sinx cosxsin^nx don't know if this format is clear enough :s-smilie:
Reply 4
Avatar for bruceleej
bruceleej
2
the term, e^sinx cosx can be integrated, by recognition.
Reply 5
Avatar for SA319
SA319
Think about the integral of (cos(x)).(e^(sin(x))).
Reply 6
Avatar for xinolisss
xinolisss
OP
10
oh ****kkkkk yeah, ok prob. solvd. cheers... stupid question though
Reply 7
Avatar for Kolya
Kolya
17
I cannot ever recall it coming up at A-level, but it is simple to see where a "triple IBP" may come from. The normal integration by parts comes from the product rule, so a "triple IBP" would come from the product rule for the product of three functions. ((uvw)′=u′vw+uv′w+uvw′(uvw)' = u'vw + uv'w + uvw')
Reply 8
Avatar for xinolisss
xinolisss
OP
10
I've solved that thing already but thanks anyways :smile:

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